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Non-wandering points and the depth for graph maps

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Science china mathematics 2007年第12期50卷 1818-1824页

作者： Jie-hua MAI~1 Tai-xiang SUN~(2.) ~1 institute of mathematics,shantou University,shantou 515063,china ~2.College of mathematics and Information Sciences,Guangxi University,Nanning 530004,china institute of mathematics Shantou University Shantou China College of mathematics and Information Sciences Guangxi University Nanning China

Let G be a graph and f:G→G be *** by R(f) andΩ(f) the set of recurrent points and the set of non-wandering points of f ***Ω_0(f) = G andΩ_n(f)=Ω(f|_(Ω_(n-1)(f))) for all n∈*** minimal m∈NU {∞} such thatΩ_m(f)=Ω_(m+1)(f) is called the depth of *** this paper,we show thatΩ_2.(f)=(?) and the depth of f is at most ***,we obtain some properties of non-wandering points of f.

关键词： graph map, non-wandering point, the depth of a graph map

The nonexistence of sensitive commutative group actions on graphs

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Science china mathematics 2007年第8期50卷 1197-1204页

作者： Jie-hua MAI~1 En-hui SHI~(2.) 1 institute of mathematics,shantou University,shantou 515063,china 2.School of Mathematical Sciences,Suzhou University,Suzhou 2.5006,china institute of mathematics Shantou University Shantou China School of Mathematical Sciences Suzhou University Suzhou China

In this paper,we observe a special kind of continuous functions on *** estimating the integrals of these functions,we prove that there are no sensitive commutative group actions on ***,we consider a 1-dimensional continuum composed of a spiral curve and a circle and show that there exist sensitive homeomorphisms on it,which answers negatively a question proposed by Kato in 1993.

关键词： homeomorphism commutative group action graph map sensitivity expansiveness infinite spiral curve 54H2.

Multi-parameter infinite-dimensional(r,δ)-OU process

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Chinese Science Bulletin 1999年第5期44卷 418-423页

作者： WANG Zikuninstitute of mathematics, shantou University,{2., china Department of mathematics, Beijing Normal University, Beijing 100875, china institute of mathematics Shantou University Shantou China Department of mathematics Beijing Normal University Beijing China

The definition of n-parameter infinite-dimensional (r, δ) -Ornstein-Uhlenbeck process {X_t (·)}((r,δ)-OUP_n~∞ for short) is given. The absolute continuity of distribution μ_t of X_t(·) and the limit of X_t(·) w... 详细信息

关键词： multi-parameter (r δ)-OUPn∞ absolute continuity in hierarchy.

Divergence-free Hardy space on R_(+)^(N)

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Science china mathematics 2004年第2期47卷 198-208页

作者： LOU Zengjian & Alan Mclntoshinstitute of mathematics, shantou University,{2., china (email: zjlou@***)Center for mathematics and Its Applications, Mathematical Science institute, Australian National University, Inst. of Math. Shantou Univ. Shantou 515063 China Ctr. for Math. and Its Appl. Math. Sci. Inst. Australian Natl. Univ. Canberra ACT 0200 Australia

We introduce a divergence-free Hardy space Hz1,div(RN+,RN) and prove its divergence-free atomic decomposition. We also characterize its dual space and establish a 'div-curl' type theorem on R+3 with an application to ... 详细信息

关键词： divergence-free Hardy space atomic decomposition BMO.

The Eigen Functions of the Complex Projective Space

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Acta Mathematica Sinica,English Series 1998年第1期14卷 1-8页

作者： Lu Qikeng institute of mathematics, Academia Sinica, Beijing 100080, china institute of mathematics, shantou University, shantou 515063, china

In the complex n-dimensional projective space CP^n. let λ_p(=4p(p+n)) be the eigen vaiue of the Laplace-Beltrami operator and H_p be the space of all eigen functions of eigen value λ_p. The reproducing kernel h_p(z, w) of H_p is constructed explicitly in this paper. and a system of complete orthogohal functions of H_p is construncted from h_p(z, w)(p=1,2.).

关键词： Complex projective space Reproducing kernel of eigen function

A LIMIT THEOREM FOR INTERACTING MEASURE-VALUED BRANCHING PROCESSES

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Acta Mathematica Scientia 1997年第3期17卷 241-249页

作者：赵学雷杨敏 institute of mathematics Shantou University Shantou 515063 China The State Information Center Beijing 100045 China

It is well known that Fleming-Viot superprocesses can be obtained from the Dawson-Watanabe superprocesses by conditioning the latter to have constant total mass. The same question is investigated for measure-valued branching processes with interacting intensity independent of the geographical position. It is showed that a sequence of conditioned probability laws of this kind of interacting measure-valued branching processes also approximates to the probability law of Fleming-Viot superprocesses.

关键词： interacting measure-valued Branching processes DW-superprocesses FV-superprocesses conditioned probability law

A GEOMETRIC FEATURE FOR FINITE ELEMENT SCHEMES

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Analysis in Theory and Applications 1994年第2期10卷 83-91页

作者： Zhan Yinwei Beijing Normal University, china Permanent address: Dr. Zhan Yinwei institute of mathematics {2. University, shantou 515063 Guangdong, china Beijing Normal University China

In this note we characterize the geometric facture of a (μ, r, k) - FES. Namely, for a C~μ triangular in- terpolation schcme with C^r vertex data, any angle of the macrotriangle must be divided into at least (μ + 1... 详细信息

关键词： FES Math A GEOMETRIC FEATURE FOR FINITE ELEMENT SCHEMES IIC Wang

Impacts of increased atmospheric CO_2.concentration on photosynthesis and growth of micro-and macro-algae

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Science china(Life Sciences) 2008年第12期51卷 1144-1150页

作者： WU HongYan1, ZOU DingHui1 & GAO KunShan2.1 Marine Biology institute, shantou University,{2., china 2.State Key Laboratory of Marine Environmental Science, Xiamen University, Xiamen 361005, china Marine Biology institute Shantou University Shantou China State Key Laboratory of Marine Environmental Science Xiamen University Xiamen China

Marine photosynthesis drives the oceanic biological CO2.pump to absorb CO2.from the atmosphere, which sinks more than one third of the industry-originated CO2.into the ocean. The increasing atmos-pheric CO2.and subsequent rise of pCO2.in seawater, which alters the carbonate system and related chemical reactions and results in lower pH and higher HCO3- concentration, affect photosynthetic CO2.fixation processes of phytoplanktonic and macroalgal species in direct and/or indirect ways. Although many unicellular and multicellular species can operate CO2.concentrating mechanisms (CCMs) to util-ize the large HCO3- pool in seawater, enriched CO2.up to several times the present atmospheric level has been shown to enhance photosynthesis and growth of both phytoplanktonic and macro-species that have less capacity of CCMs. Even for species that operate active CCMs and those whose photo-synthesis is not limited by CO2.in seawater, increased CO2.levels can down-regulate their CCMs and therefore enhance their growth under light-limiting conditions (at higher CO2.levels, less light energy is required to drive CCM). Altered physiological performances under high-CO2.conditions may cause genetic alteration in view of adaptation over long time scale. Marine algae may adapt to a high CO2.oceanic environment so that the evolved communities in future are likely to be genetically different from the contemporary communities. However, most of the previous studies have been carried out under indoor conditions without considering the acidifying effects on seawater by increased CO2.and other interacting environmental factors, and little has been documented so far to explain how physi-ology of marine primary producers performs in a high-CO2.and low-pH ocean.

关键词： CO2 photosynthesis growth phytoplankton macroalgae

Activation of human tonsil and skin mast cells by agonists of proteinase activated receptor-2

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Acta Pharmacologica Sinica 2005年第5期26卷 568-574页

作者： Shao-heng HE~2.Hua XIE,Yi-ling FUAllergy & Inflammation Research institute,shantou University Medical College.shantou 515031,china Allergy and Inflammation Research institute Shantou University Medical College Shantou 515031 China. shoahenghe@***

Aim:To investigate the effects of the agonists of proteinase activated receptor(PAR)-2.and histamine on degranulation of human mast ***:Humanmast cells were enzymatically dispersed from tonsil and skin *** dis-persed cells were then cultured with various stimuli,and tryptase and histaminelevels in cell supernatants collected from challenge tubes were ***:PAR-2.agonist peptide SLIGKV provoked a dose-dependent release of histaminefrom skin mast *** also induced tryptase release from tonsil mast ***-LIGRLO appeared less potent than SLIGKV in induction of release of histamineand *** was able to induce a"bell"shape increase in tryptaserelease from tonsil mast *** was also able to induce a dose-dependent releaseof histamine from both tonsil and skin mast *** actions of trypsin on mastcells were inhibited by soy bean trypsin inhibitor(SBTI)or α1-antitrypsin(α1-AT).Time course study revealed that both stimulated tryptase or histamine releaseinitiated within 10 s and reached their peak release between 4 and 6 ***-ment of cells with metabolic inhibitors or pertussis toxin reduced the ability ofmast cells to release tryptase or ***:It was demonstrated thatthe in vitro tryptase release properties of human tonsil and skin mast cells sug-gested a novel type of mast cell *** activation of mast cells byPAR-2.agonists indicated a self-amplification mechanism of mast cell degranulation.

关键词： tryptase histamine mast cells proteinase activated receptor-2 anti-IgE tonsil skin